Which of the following relationships represents a function?

The answer would be D.

To be a function for each unique x value you need one y value.

In A there are two -1 x values but each one has a different y value. To be a function they would need to have the same y value... this is the same for b and c as well.

D

Step-by-step explanation:

You can not have multiple outputs for an input in a function.

In A, input x = -1 has multiple y values

In B, x = -5 has multiple y values

In C, x = 5 has multiple y values

Only D has a unique y value for every x

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

hard

step-by-step explanation: